Please read these instructions before you attempt to solve this problem.

Download the live script file MAT$343$lab$2$ex$4mlx$ and open it with matlab. Run the file and use the information provided to complete the following exercise. For your convenience, a pdf vereion is also provided. Before you attempt this exercise, you might want to watch the last video of the video tutorials for this lab.

The product $y=Ax$ of an $mn$ matrix A times a column vector $x=(x_1,x_2,$dots,$x_n{)}^T$ can be computed row$-$wise as below:

$y=[A(1,2)**x$;$A(2,z)**x,$dotsA$(m,2)**x]$

that is

$y(1)=A(1,2)**x$

$y(2)=A(2,$:$)**x$

$y(m)=A(m,2)**x$

Write a function named myrowproduct that takes in input a matrix $A_4$ a column vector $x$ and a random number $k,$ and as output gives the product $y=Ax$ computed by row as detined above, and the intermediate value, $z,$ of the output vector at the end of $k$ iterations $($this intermediate value is used by MATLAB Grader to determine whether your code is correct$).$

Specific instructions for writing the function:

Extract the dimension of A using the command size and store the result in the variables $m$ and $n.$

Extract the dimension of $x$ using the command size and stor? The result in the variables $p$ and $q$

Use an if statement to perform a check on the dimensions to fetermine whether the multiplication is defined and whether $x$ is a column vector.

If the multiplication is defined and $x$ is a column vector:

initialize the vector $y$ as a vector of zeros of the appropriate dimension

use a single for loop to evaluate the entries of the product $y=Ax.$ The loop counter should be the variable i$.$ Each iteration of the for loop should evaluate the ith component of the vector $y$ as the product of the ith row of A times the vector $x.$ Also, inside the for loop, after you compute the ith component of $y,$ insert the following